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Research Article | Open Access

Multiplicity result to a system of over-determined Fredholm fractional integro-differential equations on time scales

Xing Hu, Yongkun Li( )
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
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Abstract

In present paper, several conditions ensuring existence of three distinct solutions of a system of over-determined Fredholm fractional integro-differential equations on time scales are derived. Variational methods are utilized in the proofs.

Keywords

Riemann-Liouville derivativesfractional boundary value problemtime scalesvariational methodscritical pointsmultiplicity
CLC number: 34A08, 26A33, 34B15, 34N05

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 2646-2665
DOI: 10.3934/math.2022149

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Cite this article:
Hu X, Li Y. Multiplicity result to a system of over-determined Fredholm fractional integro-differential equations on time scales. AIMS Mathematics, 2022, 7(2): 2646-2665. https://doi.org/10.3934/math.2022149

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Received: 26 September 2021
Accepted: 09 November 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)